Solve (2:4/3-1/2)-(1-1/2)

$$( 2 : \frac { 4 } { 3 } - \frac { 1 } { 2 } ) - ( 1 - \frac { 1 } { 2 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Divide 2 by \frac{4}{3} by multiplying 2 by the reciprocal of \frac{4}{3}.

$$2\times \frac{3}{4}-\frac{1}{2}-\left(1-\frac{1}{2}\right)$$

Express 2\times \frac{3}{4} as a single fraction.

$$\frac{2\times 3}{4}-\frac{1}{2}-\left(1-\frac{1}{2}\right)$$

Multiply 2 and 3 to get 6.

$$\frac{6}{4}-\frac{1}{2}-\left(1-\frac{1}{2}\right)$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-\frac{1}{2}-\left(1-\frac{1}{2}\right)$$

Since \frac{3}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{2}-\left(1-\frac{1}{2}\right)$$

Subtract 1 from 3 to get 2.

$$\frac{2}{2}-\left(1-\frac{1}{2}\right)$$

Divide 2 by 2 to get 1.

$$1-\left(1-\frac{1}{2}\right)$$

Convert 1 to fraction \frac{2}{2}.

$$1-\left(\frac{2}{2}-\frac{1}{2}\right)$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{2-1}{2}$$

Subtract 1 from 2 to get 1.

$$1-\frac{1}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{2}{2}-\frac{1}{2}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{2}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$